Analysis of vibrational systems with Coulomb's friction. (3rd report, Quenching of self-excited vibrations).

Abstract

This paper deals with a self-excited vibrating system with a dynamic damper accompanied by Coulomb's friction. The direct numerical integral method presented in the previous reports is improved to reduce the calculation time and is applied to the analysis of the self-excited system subjected to Coulomb's friction with discontinuity. By using the solutions obtained from the direct numerical integral method and the averaging method, an optimum approach for quenching of the self-excited vibration is discussed. Moreover, it turns out from the methods that a small beat vibration accompanying the stick-slip occurs when the vibration amplitude of the self-excited system is minimized, and the resulting waveform with beat contains many frequency components from the frequency analysis.